NEW RELATIONSHIPS BETWEEN LYAPUNOV FUNCTIONS AND THE PASSIVITY THEOREM

被引:7
作者
BROGLIATO, B
LOZANO, R
LANDAU, ID
机构
[1] LAB AUTOMAT GRENOBLE,CNRS,URA 228,ST MARTIN DHERES,FRANCE
[2] UNIV TECHNOL COMPIEGNE,CTR RECH ROYALLIEU,HEUDIASYC,CNRS,URA 817,F-60206 COMPIEGNE,FRANCE
关键词
LYAPUNOV FUNCTIONS; PASSIVITY THEOREM; ADAPTIVE CONTROL;
D O I
10.1002/acs.4480070505
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we study new relationships between a class of Lyapunov functions and the passivity theorem. It is proved that under some (sufficient) conditions a Lyapunov-stable system can be analysed as the feedback connection of two (strictly) passive subsystems. It is also shown that very recent adaptive schemes for linear plants of any relative degree can in a certain sense be unified through a passivity point of view.
引用
收藏
页码:353 / 365
页数:13
相关论文
共 44 条
[1]   A SIMPLIFIED VIEWPOINT OF HYPERSTABILITY [J].
ANDERSON, BD .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1968, AC13 (03) :292-&
[2]  
BRAGLIATO B, 1993, 2ND P EUR CONTR C GR, P858
[3]   PASSIVE LEAST-SQUARES-TYPE ESTIMATION ALGORITHM FOR DIRECT ADAPTIVE-CONTROL [J].
BROGLIATO, B ;
LOZANO, R .
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 1992, 6 (01) :35-44
[4]  
Brogliato B., 1991, International Journal of Robust and Nonlinear Control, V1, P187, DOI 10.1002/rnc.4590010305
[5]   PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].
BYRNES, CI ;
ISIDORI, A ;
WILLEMS, JC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1228-1240
[6]  
Desoer CA., 1975, FEEDBACK SYSTEMS INP
[7]  
FAURRE P, 1979, OPERATEURS RATIONNEL
[8]   ADAPTIVE-CONTROL OF SINGLE-INPUT, SINGLE-OUTPUT LINEAR-SYSTEMS [J].
FEUER, A ;
MORSE, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (04) :557-569
[9]   STABILITY OF NONLINEAR DISSIPATIVE SYSTEMS [J].
HILL, D ;
MOYLAN, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (05) :708-711
[10]  
HILL D, 1975, EE7526 U NEWC UP TYN